adoredonlyalway
adoredonlyalway adoredonlyalway
  • 13-07-2021
  • Mathematics
contestada

Line segment TV is a midsegment of ∆QRS. What is the value of n in the triangle pictured?

A: 6.5

B: 7.6

C: 15.2

D: 3.2

Line segment TV is a midsegment of QRS What is the value of n in the triangle pictured A 65 B 76 C 152 D 32 class=

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akposevictor
akposevictor akposevictor
  • 18-07-2021

Answer:

D. 3.2

Step-by-step explanation:

Mid-segment Theorem of a triangle states that the Mid-segment in a triangle is half of the third side of the triangle.

Based on this theorem, we have: TV = ½(RS)

TV = 3n - 2

RS = n + 12

Substitute

3n - 2 = ½(n + 12)

Multiply both sides by 2

2(3n - 2) = (n + 12)

6n - 4 = n + 12

Collect like terms

6n - n = 4 + 12

5n = 16

Divide both sides by 5

5n/5 = 16/5

n = 3.2

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